Classification of finite congruence-simple semirings with zero
Rings and Algebras
2007-05-23 v1
Abstract
Our main result states that a finite semiring of order >2 with zero which is not a ring is congruence-simple if and only if it is isomorphic to a `dense' subsemiring of the endomorphism semiring of a finite idempotent commutative monoid. We also investigate those subsemirings further, addressing e.g. the question of isomorphy.
Keywords
Cite
@article{arxiv.math/0702416,
title = {Classification of finite congruence-simple semirings with zero},
author = {Jens Zumbrägel},
journal= {arXiv preprint arXiv:math/0702416},
year = {2007}
}
Comments
16 pages